That's a good point.You should put enough text on the copper layers that it is obvious if the layers are backwards. This applies both when you make the board yourself and when a PCB house makes it. A board can be made wrong 2 ways. One is by having the layer(s) mirrored by exposing the photoresist with the negative upside down. The other is caused by swapping the 2 layers.
Very frustrating when you have a board that is otherwise correct but made reversed. I have etched boards like this myself. I have also received a reversed board from a board house with this mistake -- even with the text on the PCB.
edit: You can add the name of the board for some of the text.
Definitely a good idea with home made boards. With board houses, I use a gerber viewer to make sure. The more common problem is messed up drills (the whole excellon format was so poorly thought out) but most board houses are aware of that and have checks in place to reject designs that won't work. OSHPark gives you images of the different layers including "finished board, top and bottom" which make it pretty easy to "proof" before fabbing.



